HCF Q27

27. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

A. 101                                B. 107

C. 111                                D. 185

Answer: Option D

Explanation:

Let the number be 37a and 37b. then, 37a X 37b = 4107

==> ab=3

Now, co-primes with product 3 are (1,3)

So, the required numbers are (37 X 1, 37 X 3) i.e., (1,111)

  Greater number = 111.